Magma V2.19-8 Tue Aug 20 2013 16:17:19 on localhost [Seed = 2395935321] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1559 geometric_solution 5.34451716 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 0 0 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567108242697 0.289487254352 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.034056585561 0.424565059952 1 3 4 5 0132 0213 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577737759346 0.388005860066 5 4 2 1 0132 1023 0213 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577737759346 0.388005860066 3 6 6 2 1023 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.762158485983 0.511041797424 3 5 2 5 0132 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.163327711463 1.356925438517 6 4 4 6 3012 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.595462147220 0.509606266910 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_1']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 28555744/12992895*c_0101_6^8 - 76960486/4330965*c_0101_6^6 + 11868235702/12992895*c_0101_6^4 + 240731111/2598579*c_0101_6^2 - 373286116/12992895, c_0011_0 - 1, c_0011_1 - 13195/866193*c_0101_6^8 + 34825/288731*c_0101_6^6 - 5474227/866193*c_0101_6^4 - 1456960/866193*c_0101_6^2 - 663419/866193, c_0011_3 - 141280/866193*c_0101_6^9 + 374406/288731*c_0101_6^7 - 58577899/866193*c_0101_6^5 - 13772224/866193*c_0101_6^3 - 4037309/866193*c_0101_6, c_0101_0 + 51698/866193*c_0101_6^9 - 132615/288731*c_0101_6^7 + 21325457/866193*c_0101_6^5 + 10524782/866193*c_0101_6^3 + 1243432/866193*c_0101_6, c_0101_1 + 29783/866193*c_0101_6^8 - 78605/288731*c_0101_6^6 + 12331364/866193*c_0101_6^4 + 3164825/866193*c_0101_6^2 + 334258/866193, c_0101_4 - 178085/866193*c_0101_6^9 + 470778/288731*c_0101_6^7 - 73802927/866193*c_0101_6^5 - 18873671/866193*c_0101_6^3 - 3646654/866193*c_0101_6, c_0101_6^10 - 8*c_0101_6^8 + 415*c_0101_6^6 + 77*c_0101_6^4 + 21*c_0101_6^2 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 30467363/108616160*c_0101_6^12 + 36410607/54308080*c_0101_6^10 + 798050459/108616160*c_0101_6^8 - 82397289/13577020*c_0101_6^6 - 1378035841/108616160*c_0101_6^4 - 907796281/108616160*c_0101_6^2 + 757478179/108616160, c_0011_0 - 1, c_0011_1 + 54818/678851*c_0101_6^12 + 125610/678851*c_0101_6^10 + 1419709/678851*c_0101_6^8 - 1295197/678851*c_0101_6^6 - 2411702/678851*c_0101_6^4 - 408818/678851*c_0101_6^2 + 951213/678851, c_0011_3 + 194707/1357702*c_0101_6^13 + 224500/678851*c_0101_6^11 + 4993709/1357702*c_0101_6^9 - 2380433/678851*c_0101_6^7 - 10174377/1357702*c_0101_6^5 - 2719225/1357702*c_0101_6^3 + 4951291/1357702*c_0101_6, c_0101_0 + 69480/678851*c_0101_6^13 + 142860/678851*c_0101_6^11 + 1755571/678851*c_0101_6^9 - 2107817/678851*c_0101_6^7 - 2828669/678851*c_0101_6^5 - 93352/678851*c_0101_6^3 + 1860730/678851*c_0101_6, c_0101_1 - 14662/678851*c_0101_6^12 - 17250/678851*c_0101_6^10 - 335862/678851*c_0101_6^8 + 812620/678851*c_0101_6^6 + 416967/678851*c_0101_6^4 - 315466/678851*c_0101_6^2 - 909517/678851, c_0101_4 + 304343/1357702*c_0101_6^13 + 350110/678851*c_0101_6^11 + 7833127/1357702*c_0101_6^9 - 3675630/678851*c_0101_6^7 - 14997781/1357702*c_0101_6^5 - 3536861/1357702*c_0101_6^3 + 5496015/1357702*c_0101_6, c_0101_6^14 + 2*c_0101_6^12 + 25*c_0101_6^10 - 32*c_0101_6^8 - 43*c_0101_6^6 + 5*c_0101_6^4 + 25*c_0101_6^2 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB